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MAGMA
2.7.0
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
| void | magma_clarfy (magma_int_t n, magmaFloatComplex *A, magma_int_t lda, const magmaFloatComplex *V, const magmaFloatComplex *TAU, magmaFloatComplex *work) |
| magma_clarfy applies an elementary reflector, or Householder matrix, H, to a n-by-n Hermitian matrix C, from both the left and the right. More... | |
| void | magma_dlarfy (magma_int_t n, double *A, magma_int_t lda, const double *V, const double *TAU, double *work) |
| magma_dlarfy applies an elementary reflector, or Householder matrix, H, to a n-by-n symmetric matrix C, from both the left and the right. More... | |
| void | magma_slarfy (magma_int_t n, float *A, magma_int_t lda, const float *V, const float *TAU, float *work) |
| magma_slarfy applies an elementary reflector, or Householder matrix, H, to a n-by-n symmetric matrix C, from both the left and the right. More... | |
| void | magma_zlarfy (magma_int_t n, magmaDoubleComplex *A, magma_int_t lda, const magmaDoubleComplex *V, const magmaDoubleComplex *TAU, magmaDoubleComplex *work) |
| magma_zlarfy applies an elementary reflector, or Householder matrix, H, to a n-by-n Hermitian matrix C, from both the left and the right. More... | |
| void magma_clarfy | ( | magma_int_t | n, |
| magmaFloatComplex * | A, | ||
| magma_int_t | lda, | ||
| const magmaFloatComplex * | V, | ||
| const magmaFloatComplex * | TAU, | ||
| magmaFloatComplex * | work | ||
| ) |
magma_clarfy applies an elementary reflector, or Householder matrix, H, to a n-by-n Hermitian matrix C, from both the left and the right.
H is represented in the form
H = I - tau * v * v'
where tau is a scalar and v is a vector.
If tau is zero, then H is taken to be the unit matrix.
| [in] | n | The number of rows and columns of the matrix C. n >= 0. |
| [in,out] | A | COMPLEX array, dimension (lda, n) On entry, the Hermetian matrix A. On exit, A is overwritten by H * A * H'. |
| [in] | lda | The leading dimension of the array A. lda >= max(1,n). |
| [in] | V | The vector V that contains the Householder reflectors. |
| [in] | TAU | The value tau. |
| [out] | work | Workspace. |
| void magma_dlarfy | ( | magma_int_t | n, |
| double * | A, | ||
| magma_int_t | lda, | ||
| const double * | V, | ||
| const double * | TAU, | ||
| double * | work | ||
| ) |
magma_dlarfy applies an elementary reflector, or Householder matrix, H, to a n-by-n symmetric matrix C, from both the left and the right.
H is represented in the form
H = I - tau * v * v'
where tau is a scalar and v is a vector.
If tau is zero, then H is taken to be the unit matrix.
| [in] | n | The number of rows and columns of the matrix C. n >= 0. |
| [in,out] | A | DOUBLE PRECISION array, dimension (lda, n) On entry, the Hermetian matrix A. On exit, A is overwritten by H * A * H'. |
| [in] | lda | The leading dimension of the array A. lda >= max(1,n). |
| [in] | V | The vector V that contains the Householder reflectors. |
| [in] | TAU | The value tau. |
| [out] | work | Workspace. |
| void magma_slarfy | ( | magma_int_t | n, |
| float * | A, | ||
| magma_int_t | lda, | ||
| const float * | V, | ||
| const float * | TAU, | ||
| float * | work | ||
| ) |
magma_slarfy applies an elementary reflector, or Householder matrix, H, to a n-by-n symmetric matrix C, from both the left and the right.
H is represented in the form
H = I - tau * v * v'
where tau is a scalar and v is a vector.
If tau is zero, then H is taken to be the unit matrix.
| [in] | n | The number of rows and columns of the matrix C. n >= 0. |
| [in,out] | A | REAL array, dimension (lda, n) On entry, the Hermetian matrix A. On exit, A is overwritten by H * A * H'. |
| [in] | lda | The leading dimension of the array A. lda >= max(1,n). |
| [in] | V | The vector V that contains the Householder reflectors. |
| [in] | TAU | The value tau. |
| [out] | work | Workspace. |
| void magma_zlarfy | ( | magma_int_t | n, |
| magmaDoubleComplex * | A, | ||
| magma_int_t | lda, | ||
| const magmaDoubleComplex * | V, | ||
| const magmaDoubleComplex * | TAU, | ||
| magmaDoubleComplex * | work | ||
| ) |
magma_zlarfy applies an elementary reflector, or Householder matrix, H, to a n-by-n Hermitian matrix C, from both the left and the right.
H is represented in the form
H = I - tau * v * v'
where tau is a scalar and v is a vector.
If tau is zero, then H is taken to be the unit matrix.
| [in] | n | The number of rows and columns of the matrix C. n >= 0. |
| [in,out] | A | COMPLEX*16 array, dimension (lda, n) On entry, the Hermetian matrix A. On exit, A is overwritten by H * A * H'. |
| [in] | lda | The leading dimension of the array A. lda >= max(1,n). |
| [in] | V | The vector V that contains the Householder reflectors. |
| [in] | TAU | The value tau. |
| [out] | work | Workspace. |